Word Meanings - QUATERNION - Book Publishers vocabulary database

The quotient of two vectors, or of two directed right lines in space, considered as depending on four geometrical elements, and as expressible by an algebraic symbol of quadrinomial form. Note: The science or calculus of quaternions is

Additional info about word: QUATERNION

The quotient of two vectors, or of two directed right lines in space, considered as depending on four geometrical elements, and as expressible by an algebraic symbol of quadrinomial form. Note: The science or calculus of quaternions is a new mathematical method, in which the conception of a quaternion is unfolded and symbolically expressed, and is applied to various classes of algebraical, geometrical, and physical questions, so as to discover theorems, and to arrive at the solution of problems. Sir W. R. Hamilton. (more info) 1. The number four. 2. A set of four parts, things, or person; four things taken collectively; a group of four words, phrases, circumstances, facts, or the like. Delivered him to four quaternions of soldiers. Acts xii. 4. Ye elements, the eldest birth Of Nature's womb, that in quaternion run. Milton. The triads and quaternions with which he loaded his sentences. Sir W. Scott. 3. A word of four syllables; a quadrisyllable.

Related words: (words related to QUATERNION)

• RIGHT-RUNNING
  Straight; direct.
• SYMBOLISTIC; SYMBOLISTICAL
  Characterized by the use of symbols; as, symbolistic poetry.
• DIRECT CURRENT
  A current flowing in one direction only; -- distinguished from alternating current. When steady and not pulsating a direct current is often called a continuous current. A direct induced current, or momentary current of the same direction as the
• DIRECTER
  One who directs; a director. Directer plane , the plane to which all right-lined elements in a warped surface are parallel.
• CONSIDERINGLY
  With consideration or deliberation.
• RIGHTEOUSNESS
  The state of being right with God; justification; the work of Christ, which is the ground justification. There are two kinds of Christian righteousness: the one without us, which we have by imputation; the other in us, which consisteth of faith,
• SYMBOLISM
  The science of creeds; symbolics. (more info) 1. The act of symbolizing, or the state of being symbolized; as, symbolism in Christian art is the representation of truth, virtues, vices, etc., by emblematic colors, signs, and forms. 2. A system
• DIRECT ACTION
  See BELOW
• DIRECT NOMINATION
  The nomination or designation of candidates for public office by direct popular vote rather than through the action of a convention or body of elected nominating representatives or delegates. The term is applied both to the nomination of candidates
• DIRECTRIX
  1. A directress. Jer. Taylor. A line along which a point in another line moves, or which in any way governs the motion of the point and determines the position of the curve generated by it; the line along which the generatrix moves in generating
• SPACE
  One of the intervals, or open places, between the lines of the staff. Absolute space, Euclidian space, etc. See under Absolute, Euclidian, etc. -- Space line , a thin piece of metal used by printers to open the lines of type to a regular distance
• DEPENDENT
  1. Hanging down; as, a dependent bough or leaf. 2. Relying on, or subject to, something else for support; not able to exist, or sustain itself, or to perform anything, without the will, power, or aid of something else; not self-sustaining;
• RIGHT-ANGLED
  Containing a right angle or right angles; as, a right-angled triangle.
• QUADRINOMIAL
  A polynomial of four terms connected by the signs plus or minus.
• DIRECT
  In the direction of the general planetary motion, or from west to east; in the order of the signs; not retrograde; -- said of the motion of a celestial body. Direct action. See Direct-acting. -- Direct discourse , the language of any one quoted
• RIGHTEOUS
  Doing, or according with, that which is right; yielding to all their due; just; equitable; especially, free from wrong, guilt, or sin; holy; as, a righteous man or act; a righteous retribution. Fearless in his righteous cause. Milton.
• DEPENDENCY
  1. State of being dependent; dependence; state of being subordinate; subordination; concatenation; connection; reliance; trust. Any long series of action, the parts of which have very much dependency each on the other. Sir J. Reynolds. So that
• CONSIDER
  consider, view attentively, prob. fr. con- + sidus, sideris, star, constellation; orig., therefore, to look at the stars. See Sidereal, 1. To fix the mind on, with a view to a careful examination; to thank on with care; to ponder; to study; to
• RIGHTEN
  To do justice to. Relieve the opressed. Isa. i. 17.
• RIGHT-LINED
  Formed by right lines; rectilineal; as, a right-lined angle.
• BRIGHT
  See I
• CHURCHLINESS
  Regard for the church.
• FRIENDLINESS
  The condition or quality of being friendly. Sir P. Sidney.
• LORDLINESS
  The state or quality of being lordly. Shak.
• STEELINESS
  The quality of being steely.
• UNCONSIDERED
  Not considered or attended to; not regarded; inconsiderable; trifling. A snapper-up of unconsidered trifles. Shak.
• CHILLINESS
  1. A state or sensation of being chilly; a disagreeable sensation of coldness. 2. A moderate degree of coldness; disagreeable coldness or rawness; as, the chilliness of the air. 3. Formality; lack of warmth.
• SOUTHERNLINESS
  Southerliness.
• CARTWRIGHT
  An artificer who makes carts; a cart maker.
• INDEPENDENCY
  Doctrine and polity of the Independents. (more info) 1. Independence. "Give me," I cried , "My bread, and independency!" Pope.
• SELF-DEPENDING
  Depending on one's self.
• MELANCHOLINESS
  The state or quality of being melancholy. Hallywell.
• SPRIGHTLY
  Sprightlike, or spiritlike; lively; brisk; animated; vigorous; airy; gay; as, a sprightly youth; a sprightly air; a sprightly dance. "Sprightly wit and love inspires." Dryden. The sprightly Sylvia trips along the green. Pope.
• FRIGHTFUL
  1. Full of fright; affrighted; frightened. See how the frightful herds run from the wood. W. Browne. 2. Full of that which causes fright; exciting alarm; impressing terror; shocking; as, a frightful chasm, or tempest; a frightful appearance. Syn.
• SHRIGHT
  imp. & p. p. of Shriek. She cried alway and shright. Chaucer.